Capacitated network-flow approach to the evacuation-location problem

Farahani, Mina Mazraeh; Chaharsooghi, S. Kamal; Woensel, Tom Van; Veelenturf, Lucas P.

doi:10.1016/j.cie.2017.11.026

Cited by 15 publications

(4 citation statements)

References 33 publications

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“…This includes reinforcing buildings and infrastructure [13,14], establishing aid centers, and setting up evacuation shelters early on [15]. In [16], the stochastic problem of determining a set of shelter locations during the preparation stage for natural disasters was investigated. To address this problem, a genetic algorithm was proposed as a solution, particularly in cases with large dimensions.…”

Section: Information Technologies Systems Analysis and Administrationmentioning

confidence: 99%

“…In the numerical implementation of the algorithms, the given area is discretized with the steps h 1 = h 2 = 0.02. To calculate multiple integrals, we use the cubature trapezoid formula, the problem (16)(17)(18)(19)) is solved using the potential method. We set the following parameters and error values of the r(α)-algorithm: α = 3, b = 0.9, e = 0.0001.…”

Section: If a Conditionmentioning

confidence: 99%

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Two-stage problems of optimal location and distribution of the humanitarian logistics system’s structural subdivisions

Koriashkina,

Dziuba,

et al. 2024

Nauk. visn. nat. hirn. univ.

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Purpose. To ensure the rational organization of the evacuation of people from a region affected by an emergency by developing a mathematical and algorithmic toolkit that will allow for the early distribution of transport and material resources, maximizing coverage of the affected areas while minimizing evacuation time. Methodology. System analysis of evacuation processes; mathematical modeling, the theory of continuous problems of optimal partitioning of sets, non-differentiable optimization. Findings. The object of the study is the two-stage evacuation logistic processes that occur when serving the population of areas affected by emergencies of a natural or technogenic nature. The research considers the possibility of optimally distributing human flows within the transportation system, the structural subdivisions of which are first-stage centers (first aid stations that carry out the reception of citizens from areas affected by the disaster) and second-stage centers (specialized units of the emergency aid system that provide further services to the evacuated population). The proposed mathematical model deals with the problem of optimally partitioning a continuous set with the placement of subset centers and additional connections. Methods for its solution have been described. We demonstrate the versatility of these models, as they can be used to describe logistic evacuation processes, organize assembly points, intermediate locations, evacuation reception points, and those providing primary assistance to the affected population. We calculate the appropriate number of essential products and deliver them from existing warehouses through distribution centers to the affected areas. Originality. As preventive measures to increase the level of population safety during an emergency, we consider the optimal placement of rescue facilities and the zoning of the territory to distribute evacuation traffic. We also address the problem of the optimal distribution of human flows in the transport and logistics system. Practical value. The presented models, methods, and algorithms enable the solution of many practical problems related to the development of preventive measures and the planning of rescue operations to ensure the population’s safety in case of emergencies. The theoretical results obtained are translated into specific recommendations that can be utilized when addressing logistical problems related to the organization of primary evacuation of the population from affected areas and their subsequent transportation to safer locations for further assistance.

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Section: Information Technologies Systems Analysis and Administrationmentioning

confidence: 99%

Section: If a Conditionmentioning

confidence: 99%

Two-stage problems of optimal location and distribution of the humanitarian logistics system’s structural subdivisions

Koriashkina,

Dziuba,

et al. 2024

Nauk. visn. nat. hirn. univ.

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“…Post-disaster phase logistics models can be split into two groups: relief delivery/casualty transport models and models for mass evacuation (Mazraeh Farahani et al , 2018). The mass evacuation models cover traffic flow management, car evacuation and evacuation through public transit (Özdamar and Ertem, 2015).…”

Section: Literature Reviewmentioning

confidence: 99%

Application of fuzzy DEMATEL–ANP methods for siting refugee camps

Abikova

2020

JHLSCM

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PurposeThe aim of this paper was to investigate the criteria and sub-criteria with the most impact on determining a suitable location for refugee camps. This paper also analysed the relationships between the main criteria used in the selection process.Design/methodology/approachThis study applied a combination of fuzzy methods and the Decision-Making Trial and Evaluation Laboratory (DEMATEL) and Analytical Network Process (ANP) methods as tools for multiple-criteria decision analysis. A questionnaire was distributed to field workers in an international humanitarian organization team.FindingsFive main criteria and twenty sub-criteria were defined. Between them, the highest ranked sub-criteria were long-term planning, optimal distribution and opportunity for growth. These findings were specific to the interviewed respondents of presented research at the time the data were collected and offer a potential research design for future research examining different organizations and teams.Research limitations/implicationsThe methods and evaluation were based on human opinions that were potentially biased.Practical implicationsThe results of this study could be useful to government organizations, UN agencies, humanitarian organizations and other decision-making parties in selecting camp locations for refugees or internally displaced people according to how the importance of particular sub-criteria is understood.Originality/valueNew sub-criteria were included in this research. To date, the combination of fuzzy, DEMATEL and ANP methods has not been previously used in relation to these issues. Scientific knowledge concerning refugee camp siting problems is limited. This research extends this knowledge with the involvement of humanitarian workers as respondents. This paper also offers organizations a process for solving complex decision-making problems with long-term results or effect.

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“…Different from traditional cost-oriented or time-oriented objectives, Farahani et al (2018) [16] propose a mixed integer linear programming model which combines location decisions with the max-flow problem. The objective is to select locations which maximize the number of dispatched people.…”

Section: Shelter Location and Victim Resettlementmentioning

confidence: 99%

A Dynamic Shelter Location and Victim Resettlement Model Considering Equitable Waiting Costs

Wang

Chen

2020

IJERPH

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Catastrophic natural disasters cause devastating damage and leave a huge number of homeless people. Waiting for resettlement in a post-disaster environment brings human suffering, which is defined by waiting cost in this paper. Taking into account waiting cost and fairness consideration simultaneously, a mixed integer linear programming model is constructed for the multiperiod location-allocation process. Two fairness indicators are incorporated to guarantee both the whole-process equity and the periodic equity. The model is implemented in the General Algebraic Modeling System (GAMS) and solved by the CPLEX solver. An illustrative example is provided to explain the model characteristics. Furthermore, a case study of the Yushu earthquake is conducted to demonstrate the applicability of the model to practical problems.

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Capacitated network-flow approach to the evacuation-location problem

Cited by 15 publications

References 33 publications

Two-stage problems of optimal location and distribution of the humanitarian logistics system’s structural subdivisions

Two-stage problems of optimal location and distribution of the humanitarian logistics system’s structural subdivisions

Application of fuzzy DEMATEL–ANP methods for siting refugee camps

A Dynamic Shelter Location and Victim Resettlement Model Considering Equitable Waiting Costs

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